\(Z\) is a positive integer greater than \(3.\) How many distinct prime factors does \((Z + 1)(Z - 1)\) have?

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\(Z\) is a positive integer greater than \(3.\) How many distinct prime factors does \((Z + 1)(Z - 1)\) have?

1) \(Z\) is not even.
2) \(Z\) is not a multiple of \(5.\)

Answer: E

Source: EMPOWERgmat
Source: — Data Sufficiency |